The 1959 Bucknell Bison football team was an American football team that represented Bucknell University during the 1959 NCAA College Division football season. Bucknell finished fourth in the University Division of the Middle Atlantic Conference. In its second season under head coach Bob Odell, the team compiled a 4–5 record, 3–3 against division opponents. Larry Mathias was the team captain. The team played its home games at Memorial Stadium on the university campus in Lewisburg, Pennsylvania.